Solution to Problem 541 | Floor Framing

Problem 541
The 18-ft long floor beams in a building are simply supported at their ends and carry a floor load of 0.6 lb/in2. If the beams have W10 × 30 sections, determine the center-line spacing using an allowable flexural stress of 18 ksi.

Solution 541

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$w_o = (0.6 \, \text{lb/in}^2)(12 \, \text{in/ft})^2(s \, \text{ft})$

$w_o = 86.4s \, \text{lb/ft}$

$R_1 = R_2 = \frac{1}{2}(86.4s)(18)$

$R_1 = R_2 = 777.6s \, \text{lb}$

$M_{max} = 777.6s(9) - 86.4s(9)(4.5)$

$M_{max} = 3499.2s \, \text{lb}\cdot\text{ft}$

From Table B-7 in Appendix B of textbook: Properties of Wide-Flange Sections (W-Shapes): US Customary Units.